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Finding the Fourth Proportional to 8,583.79, 11,846.77 and 4,807.16

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Solution

The fourth proportional to 8,583.79, 11,846.77 and 4,807.16 is: 6,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.79 : 11,846.77 = 4,807.16 : x
  2. Step 2: Convert to fraction form
    8,583.79/11,846.77 = 4,807.16/x
  3. Step 3: Cross multiply
    8,583.79x = 11,846.77 × 4,807.16
  4. Step 4: Simplify right side
    8,583.79x = 56,949,336.47
  5. Step 5: Solve for x
    x = 56,949,336.47/8,583.79
  6. Step 6: Final answer
    x = 6,634.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.